Does the manumission of an Umm Walad or a Mudabbara by the master result in the manumission of their respective children?

Primary text

If the master manumits the Umm Walad or the Mudabbara, their respective children are not manumitted, because they were manumitted through a cause that does not entail the child's freedom, and their emancipation remains contingent upon the master's death. Similarly, if the master manumits the children, the mothers are not manumitted by that act.